A Piecewise Acceleration-Optimal and Smooth-Jerk Trajectory Planning Method for Robot Manipulator along a Predefined Path
Author(s) -
Yuan Chen,
Bing Li
Publication year - 2011
Publication title -
international journal of advanced robotic systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 46
eISSN - 1729-8814
pISSN - 1729-8806
DOI - 10.5772/45707
Subject(s) - jerk , piecewise , acceleration , computer science , kinematics , control theory (sociology) , trajectory , motion planning , mathematical optimization , optimal control , path (computing) , function (biology) , robot , mathematics , control (management) , artificial intelligence , mathematical analysis , physics , classical mechanics , astronomy , evolutionary biology , biology , programming language
This paper proposes a piecewise acceleration-optimal and smooth-jerk trajectory planning method of robot manipulator. The optimal objective function is given by the weighted sum of two terms having opposite effects: the maximal acceleration and the minimal jerk. Some computing techniques are proposed to determine the optimal solution. These techniques take both the time intervals between two interpolation points and the control points of B-spline function as optimal variables, redefine the kinematic constraints as the constraints of optimal variables, and reformulate the objective function in matrix form. The feasibility of the optimal method is illustrated by simulation and experimental results with pan mechanism for cooking robot
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